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Notations

Machine Learning Notations

Influential Ideas and Papers

Generative Pre-trained Transformers
Low-Rank Adaptation Of Large Language Models
- Concept
- Implementation
Empirical Risk Minimization
- Concept: Empirical Risk Minimization
- Bayes Optimal Classifier
Is The Learning Problem Solvable?
- Concept: Learning Theory
Lloyd’s K-Means Clustering Algorithm
Naive Bayes
Mixture Models
- Concept
- Gaussian Mixture Models Implementation
Linear Regression
- Concept
- Implementation

Playbook

Training Dynamics And Tricks
Softmax Preserves Order, Is Translation Invariant But Not Invariant Under Scaling.
How to Inspect Function and Class Signatures in Python?

Probability Theory

Chapter 1. Mathematical Preliminaries
Chapter 2. Probability
Chapter 3. Discrete Random Variables
Chapter 4. Continuous Random Variables
Chapter 5. Joint Distributions
Chapter 6. Sample Statistics
Chapter 8. Estimation Theory
- Maximum Likelihood Estimation
  - Concept

Operations

Distributed Systems
Profiling
The Lifecycle of an AIOps System

Software Engineering

Config, State, Metadata Management
Design Patterns
Python
Concurrency, Parallelism and Asynchronous Programming

Computer Science

Type Theory, A Very Rudimentary Introduction

Data Structures and Algorithms

Complexity Analysis
- Master Theorem
List/Array
- Concept
- Questions
  - Two Sum
Hash Map
- Concept
- Questions
  - Two Sum
  - Group Anagrams
Two Pointers And Sliding Window
Stack
- Concept
- Questions
Queue
- Concept
- Double Ended Queue
  - Easy - Hot Potatoes
  - Palindrome Checker
Linear Search
- Concept
Binary Search
- Concept
- Koko Eating Bananas

Linear Algebra

Preliminaries
- Fields
- Systems of Linear Equations
Vectors

References, Resources and Roadmap

Bibliography
IEEE (Style) Citations

Repository
Open issue

.md

Chapter 6. Sample Statistics

Contents

Table of Contents

Chapter 6. Sample Statistics#

Table of Contents

Table of Contents #

Moment Generating and Characteristic Functions
Probability Inequalities
Law of Large Numbers

This chapter introduces the concepts of sample statistics and the sampling distribution of a statistic.

previous

The Geometry of Multivariate Gaussians

next

Moment Generating and Characteristic Functions

Contents

Table of Contents

By Gao Hongnan

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